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mprec.h
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1 /****************************************************************
2  *
3  * The author of this software is David M. Gay.
4  *
5  * Copyright (c) 1991, 2000 by AT&T.
6  *
7  * Permission to use, copy, modify, and distribute this software for any
8  * purpose without fee is hereby granted, provided that this entire notice
9  * is included in all copies of any software which is or includes a copy
10  * or modification of this software and in all copies of the supporting
11  * documentation for such software.
12  *
13  * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
14  * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
15  * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
16  * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
17  *
18  ***************************************************************/
19 
20 /* Please send bug reports to
21  David M. Gay
22  AT&T Bell Laboratories, Room 2C-463
23  600 Mountain Avenue
24  Murray Hill, NJ 07974-2070
25  U.S.A.
26  dmg@research.att.com or research!dmg
27  */
28 
29 #ifndef __CLASSPATH_MPREC_H__
30 #define __CLASSPATH_MPREC_H__
31 
32 #include <config.h>
33 
34 /* CUBRID local changes: comment out the #include "config-int.h", and include
35  * the C99 <stdint.h> header instead. For Visual C++, which is missing this header,
36  * manually define uint32_t (which appears to be the only type used from that header).
37  */
38 /* #include "config-int.h" */
39 #ifdef _MSC_VER
40 # if _MSC_VER < 1600 /* Visual C++ versions previous to Visual Studio 2010 */
41 typedef __int32 int32_t;
42 typedef unsigned __int32 uint32_t;
43 # else
44 # include <stdint.h>
45 # endif
46 #else
47 # include <stdint.h>
48 #endif
49 
50 #include "ieeefp.h"
51 
52 /* CLASSPATH LOCAL */
53 /* cubrid local changes: comment out the #include "namespace.h",
54  * the included file is generated and is found to be empty */
55 /* #include "namespace.h" */
56 
57 #if defined HAVE_SYS_TYPES_H
58 #include <sys/types.h>
59 #endif
60 
61 #if defined HAVE_SYS_CONFIG_H
62 #include <sys/config.h>
63 #endif
64 
65 #ifdef __cplusplus
66 extern "C"
67 {
68 #endif
69 
70  /* These typedefs are true for the targets running Java. */
71 
72 #ifdef __IEEE_LITTLE_ENDIAN
73 #define IEEE_8087
74 #endif
75 
76 #ifdef __IEEE_BIG_ENDIAN
77 #define IEEE_MC68k
78 #endif
79 
80 #ifdef __Z8000__
81 #define Just_16
82 #endif
83 
84 #ifdef DEBUG
85 #include "stdio.h"
86 #include <stdlib.h>
87 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
88 #endif
89 
90 
91 #ifdef Unsigned_Shifts
92 #define Sign_Extend(a,b) if (b < 0) a |= (uint32_t)0xffff0000;
93 #else
94 #define Sign_Extend(a,b) /* no-op */
95 #endif
96 
97 #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
98  Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
99 #endif
100 /* If we are going to examine or modify specific bits in a double using
101  the word0 and/or word1 macros, then we must wrap the double inside
102  a union. This is necessary to avoid undefined behavior according to
103  the ANSI C spec. */
105  {
106  double d;
107  uint32_t i[2];
108  };
109 
110 #ifdef IEEE_8087
111 #define word0(x) (x.i[1])
112 #define word1(x) (x.i[0])
113 #else
114 #define word0(x) (x.i[0])
115 #define word1(x) (x.i[1])
116 #endif
117 
118 /* The following definition of Storeinc is appropriate for MIPS processors.
119  * An alternative that might be better on some machines is
120  * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
121  */
122 #if defined(__IEEE_BYTES_LITTLE_ENDIAN) + defined(IEEE_8087) + defined(VAX)
123 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
124 ((unsigned short *)a)[0] = (unsigned short)c, a++)
125 #else
126 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
127 ((unsigned short *)a)[1] = (unsigned short)c, a++)
128 #endif
129 
130 /* #define PREC DBL_MANT_DIG */
131 /* Ten_pmax = floor(PREC*log(2)/log(5)) */
132 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
133 /* Quick_max = floor((PREC-1)*log(FLT_RADIX)/log(10) - 1) */
134 /* Int_max = floor(PREC*log(FLT_RADIX)/log(10) - 1) */
135 
136 #if defined(IEEE_8087) + defined(IEEE_MC68k)
137 #if defined (_DOUBLE_IS_32BITS)
138 #define Exp_shift 23
139 #define Exp_shift1 23
140 #define Exp_msk1 ((uint32_t)0x00800000L)
141 #define Exp_msk11 ((uint32_t)0x00800000L)
142 #define Exp_mask ((uint32_t)0x7f800000L)
143 #define PREC 24
144 #define Bias 127
145 #if 0
146 #define IEEE_Arith /* it is, but the code doesn't handle IEEE singles yet */
147 #endif
148 #define Emin (-126)
149 #define Exp_1 ((uint32_t)0x3f800000L)
150 #define Exp_11 ((uint32_t)0x3f800000L)
151 #define Ebits 8
152 #define Frac_mask ((uint32_t)0x007fffffL)
153 #define Frac_mask1 ((uint32_t)0x007fffffL)
154 #define Ten_pmax 10
155 #define Sign_bit ((uint32_t)0x80000000L)
156 #define Ten_pmax 10
157 #define Bletch 2
158 #define Bndry_mask ((uint32_t)0x007fffffL)
159 #define Bndry_mask1 ((uint32_t)0x007fffffL)
160 #define LSB 1
161 #define Sign_bit ((uint32_t)0x80000000L)
162 #define Log2P 1
163 #define Tiny0 0
164 #define Tiny1 1
165 #define Quick_max 5
166 #define Int_max 6
167 #define Infinite(x) (word0(x) == ((uint32_t)0x7f800000L))
168 #undef word0
169 #undef word1
170 
171 #define word0(x) (x.i[0])
172 #define word1(x) 0
173 #else
174 
175 #define Exp_shift 20
176 #define Exp_shift1 20
177 #define Exp_msk1 ((uint32_t)0x100000L)
178 #define Exp_msk11 ((uint32_t)0x100000L)
179 #define Exp_mask ((uint32_t)0x7ff00000L)
180 #define PREC 53
181 #define Bias 1023
182 #define IEEE_Arith
183 #define Emin (-1022)
184 #define Exp_1 ((uint32_t)0x3ff00000L)
185 #define Exp_11 ((uint32_t)0x3ff00000L)
186 #define Ebits 11
187 #define Frac_mask ((uint32_t)0xfffffL)
188 #define Frac_mask1 ((uint32_t)0xfffffL)
189 #define Ten_pmax 22
190 #define Bletch 0x10
191 #define Bndry_mask ((uint32_t)0xfffffL)
192 #define Bndry_mask1 ((uint32_t)0xfffffL)
193 #define LSB 1
194 #define Sign_bit ((uint32_t)0x80000000L)
195 #define Log2P 1
196 #define Tiny0 0
197 #define Tiny1 1
198 #define Quick_max 14
199 #define Int_max 14
200 #define Infinite(x) (word0(x) == ((uint32_t)0x7ff00000L)) /* sufficient test for here */
201 #endif
202 
203 #else
204 #undef Sudden_Underflow
205 #define Sudden_Underflow
206 #ifdef IBM
207 #define Exp_shift 24
208 #define Exp_shift1 24
209 #define Exp_msk1 ((uint32_t)0x1000000L)
210 #define Exp_msk11 ((uint32_t)0x1000000L)
211 #define Exp_mask ((uint32_t)0x7f000000L)
212 #define PREC 14
213 #define Bias 65
214 #define Exp_1 ((uint32_t)0x41000000L)
215 #define Exp_11 ((uint32_t)0x41000000L)
216 #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
217 #define Frac_mask ((uint32_t)0xffffffL)
218 #define Frac_mask1 ((uint32_t)0xffffffL)
219 #define Bletch 4
220 #define Ten_pmax 22
221 #define Bndry_mask ((uint32_t)0xefffffL)
222 #define Bndry_mask1 ((uint32_t)0xffffffL)
223 #define LSB 1
224 #define Sign_bit ((uint32_t)0x80000000L)
225 #define Log2P 4
226 #define Tiny0 ((uint32_t)0x100000L)
227 #define Tiny1 0
228 #define Quick_max 14
229 #define Int_max 15
230 #else /* VAX */
231 #define Exp_shift 23
232 #define Exp_shift1 7
233 #define Exp_msk1 0x80
234 #define Exp_msk11 ((uint32_t)0x800000L)
235 #define Exp_mask ((uint32_t)0x7f80L)
236 #define PREC 56
237 #define Bias 129
238 #define Exp_1 ((uint32_t)0x40800000L)
239 #define Exp_11 ((uint32_t)0x4080L)
240 #define Ebits 8
241 #define Frac_mask ((uint32_t)0x7fffffL)
242 #define Frac_mask1 ((uint32_t)0xffff007fL)
243 #define Ten_pmax 24
244 #define Bletch 2
245 #define Bndry_mask ((uint32_t)0xffff007fL)
246 #define Bndry_mask1 ((uint32_t)0xffff007fL)
247 #define LSB ((uint32_t)0x10000L)
248 #define Sign_bit ((uint32_t)0x8000L)
249 #define Log2P 1
250 #define Tiny0 0x80
251 #define Tiny1 0
252 #define Quick_max 15
253 #define Int_max 15
254 #endif
255 #endif
256 
257 #ifndef IEEE_Arith
258 #define ROUND_BIASED
259 #endif
260 
261 #ifdef RND_PRODQUOT
262 #define rounded_product(a,b) a = rnd_prod(a, b)
263 #define rounded_quotient(a,b) a = rnd_quot(a, b)
264 #ifdef KR_headers
265  extern double rnd_prod (), rnd_quot ();
266 #else
267  extern double rnd_prod (double, double), rnd_quot (double, double);
268 #endif
269 #else
270 #define rounded_product(a,b) a *= b
271 #define rounded_quotient(a,b) a /= b
272 #endif
273 
274 #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
275 #define Big1 ((uint32_t)0xffffffffL)
276 
277 #ifndef Just_16
278 /* When Pack_32 is not defined, we store 16 bits per 32-bit long.
279  * This makes some inner loops simpler and sometimes saves work
280  * during multiplications, but it often seems to make things slightly
281  * slower. Hence the default is now to store 32 bits per long.
282  */
283 
284 #ifndef Pack_32
285 #if SIZEOF_VOID_P != 8
286 #define Pack_32
287 #endif
288 #endif
289 #endif
290 
291 
292 #define MAX_BIGNUMS 16
293 #ifdef Pack_32
294 #define MAX_BIGNUM_WDS 32
295 #else
296  /* Note that this is a workaround for */
297 #define MAX_BIGNUM_WDS 128
298 #endif
299 
300  struct _Jv_Bigint
301  {
302  struct _Jv_Bigint *_next;
304  unsigned long _x[1];
305  };
306 
307 
308 #define _PTR void *
309 #define _AND ,
310 #define _NOARGS void
311 #define _CONST const
312 #define _VOLATILE volatile
313 #define _SIGNED signed
314 #define _DOTS , ...
315 #define _VOID void
316 #ifndef _EXFUN
317 #define _EXFUN(name, proto) name proto
318 #endif /* !EXFUN */
319 #define _DEFUN(name, arglist, args) name(args)
320 #define _DEFUN_VOID(name) name(_NOARGS)
321 #define _CAST_VOID (void)
322 
323 
324  struct _Jv_reent
325  {
326  /* local copy of errno */
327  int _errno;
328 
329  /* used by mprec routines */
332  struct _Jv_Bigint *_p5s;
333 
335  int _max_k;
336  };
337 
338 
339  typedef struct _Jv_Bigint _Jv_Bigint;
340 
341 #define Balloc _Jv_Balloc
342 #define Bfree _Jv_Bfree
343 #define multadd _Jv_multadd
344 #define s2b _Jv_s2b
345 #define lo0bits _Jv_lo0bits
346 #define hi0bits _Jv_hi0bits
347 #define i2b _Jv_i2b
348 #define mult _Jv_mult
349 #define pow5mult _Jv_pow5mult
350 #define lshift _Jv_lshift
351 #define cmp _Jv__mcmp
352 #define diff _Jv__mdiff
353 #define ulp _Jv_ulp
354 #define b2d _Jv_b2d
355 #define d2b _Jv_d2b
356 #define ratio _Jv_ratio
357 
358 #define tens _Jv__mprec_tens
359 #define bigtens _Jv__mprec_bigtens
360 #define tinytens _Jv__mprec_tinytens
361 
362 #define _dtoa _Jv_dtoa
363 #define _dtoa_r _Jv_dtoa_r
364 #define _strtod_r _Jv_strtod_r
365 
366  extern double _EXFUN (_strtod_r, (struct _Jv_reent * ptr, const char *s00, char **se));
367  extern char *_EXFUN (_dtoa_r,
368  (struct _Jv_reent * ptr, double d, int mode, int ndigits, int *decpt, int *sign, char **rve,
369  int float_type));
370  extern void _EXFUN (_dtoa,
371  (double d, int mode, int ndigits, int *decpt, int *sign, char **rve, char *buf, int float_type));
372 
373  double _EXFUN (ulp, (double x));
374  double _EXFUN (b2d, (_Jv_Bigint * a, int *e));
375  _Jv_Bigint *_EXFUN (Balloc, (struct _Jv_reent * p, int k));
376  void _EXFUN (Bfree, (struct _Jv_reent * p, _Jv_Bigint * v));
377  _Jv_Bigint *_EXFUN (multadd, (struct _Jv_reent * p, _Jv_Bigint *, int, int));
378  _Jv_Bigint *_EXFUN (s2b, (struct _Jv_reent *, const char *, int, int, unsigned long));
379  _Jv_Bigint *_EXFUN (i2b, (struct _Jv_reent *, int));
380  _Jv_Bigint *_EXFUN (mult, (struct _Jv_reent *, _Jv_Bigint *, _Jv_Bigint *));
381  _Jv_Bigint *_EXFUN (pow5mult, (struct _Jv_reent *, _Jv_Bigint *, int k));
382  int _EXFUN (hi0bits, (unsigned long));
383  int _EXFUN (lo0bits, (unsigned long *));
384  _Jv_Bigint *_EXFUN (d2b, (struct _Jv_reent * p, double d, int *e, int *bits));
385  _Jv_Bigint *_EXFUN (lshift, (struct _Jv_reent * p, _Jv_Bigint * b, int k));
386  _Jv_Bigint *_EXFUN (diff, (struct _Jv_reent * p, _Jv_Bigint * a, _Jv_Bigint * b));
387  int _EXFUN (cmp, (_Jv_Bigint * a, _Jv_Bigint * b));
388 
389  double _EXFUN (ratio, (_Jv_Bigint * a, _Jv_Bigint * b));
390 #define Bcopy(x,y) memcpy((char *)&x->_sign, (char *)&y->_sign, y->_wds*sizeof(long) + 2*sizeof(int))
391 
392 #if defined(_DOUBLE_IS_32BITS) && defined(__v800)
393 #define n_bigtens 2
394 #else
395 #define n_bigtens 5
396 #endif
397 
398  extern _CONST double tinytens[];
399  extern _CONST double bigtens[];
400  extern _CONST double tens[];
401 
402 #ifdef __cplusplus
403 }
404 #endif
405 
406 #endif /* __CLASSPATH_MPREC_H__ */
#define _strtod_r
Definition: mprec.h:364
#define Balloc
Definition: mprec.h:341
int _wds
Definition: mprec.h:303
#define tinytens
Definition: mprec.h:360
#define ulp
Definition: mprec.h:353
int _errno
Definition: mprec.h:327
#define i2b
Definition: mprec.h:347
#define diff
Definition: mprec.h:352
struct _Jv_Bigint * _p5s
Definition: mprec.h:332
Exactly one of VAX
Definition: mprec.h:98
Exactly one of IEEE_8087
Definition: mprec.h:98
#define _EXFUN(name, proto)
Definition: mprec.h:317
double d
Definition: mprec.h:106
struct _Jv_Bigint ** _freelist
Definition: mprec.h:334
uint32_t i[2]
Definition: mprec.h:107
int _max_k
Definition: mprec.h:335
int _maxwds
Definition: mprec.h:303
#define pow5mult
Definition: mprec.h:349
#define hi0bits
Definition: mprec.h:346
#define _CONST
Definition: mprec.h:311
#define b2d
Definition: mprec.h:354
#define lshift
Definition: mprec.h:350
#define _dtoa
Definition: mprec.h:362
#define d2b
Definition: mprec.h:355
static enum scanner_mode mode
#define mult
Definition: mprec.h:348
int _k
Definition: mprec.h:303
#define ratio
Definition: mprec.h:356
#define s2b
Definition: mprec.h:344
#define cmp
Definition: mprec.h:351
struct _Jv_Bigint * _next
Definition: mprec.h:302
#define tens
Definition: mprec.h:358
int _sign
Definition: mprec.h:303
#define multadd
Definition: mprec.h:343
Exactly one of IEEE_MC68k
Definition: mprec.h:98
#define lo0bits
Definition: mprec.h:345
#define bigtens
Definition: mprec.h:359
#define _dtoa_r
Definition: mprec.h:363
int _result_k
Definition: mprec.h:331
#define Bfree
Definition: mprec.h:342
struct _Jv_Bigint * _result
Definition: mprec.h:330
const char ** p
Definition: dynamic_load.c:945
unsigned long _x[1]
Definition: mprec.h:304